walk me through this a) Use the formula: k(x) to find the equation of the osculating circle for y In x at the point (1.0) 1+r732 The equation or the circle is: (x+(HS㎡+(y + (2/ b)Show that the os...
doc d 1. Using Implicit differentiation derive the formula -(arcsin x) V1 - 22 2. Find the equation of tangent to the curve y = arccos(.x3 – 1) at the point (1,0).
plz show all steps in a readable handwritting for problem number 5,6 & 7 5) Find T(t),n(t), B(t),r(t),k(t) and ρ(t) for r(t)=tT+(3t-1) 6) Find the graph of the osculating circle to the curve y = x2 at the point (1,1) 7) Let r(t) = t21-7j+ 2t2k.Given thata= a:T+aM a) Find the tangential component of the acceleration. b) Find the normal component of the acceleration directly (via the formula for an) and indirectly (using |ã | and ar). Show that they...
2. Given f(x) = V23 - 100x + 1, find the equation of the line tangent to f-'(x) at the point (23, 12). No approximations. 3. Consider the graph of all points (x,y) that satisfy sin(y) - 4cos(x) = In (x² + y2). do b dy dx in terms of both x and y. Using implicit differentiation, solve for
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....
please help me with these. Thanks. 4. Use implicit differentiation to find an equation of the tangent line to the graph y2 + In xy = 2 of at the point (e, 1) )(-5) using formula for the derivative of the inverse 5. Consider f(x) = x + 3x - 1. Find (f function. 6. Consider the following function and its inverse f(x) = x-4 f(x) = x2 +4, point (5,1) point (1,5) x20 a) Graph both functions on the...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
1. Find the equation of the curve passing through the point (1, 1) whose differential equation is (y - yx)dx + (x + xy)dy = 0 (10 marks)
1. Find an equation of the tangent line to the curve at the given point. x = ++ +1, y=+*+t at the point (2,-2). 2. Find y" by implicit differentiation. (note that a is a constant) x² + y² = a² 3. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total...
question 1-10 x2 + y2 = 25. 1. Given: thecircle 2. Find: Use implicit differentiation and find the derivative, y. You can use your book if need be. Relative to problem W1, put in slope-intercept form (that is, y=mx+b) the equation of the tangent line to the circle at (-4,-3). Find each of the following integrals. Be careful! fx-sax ( 10x ax (Note: 1/(x^2) - **(-2)) Sex - 7 Jax 170 - Jos Sex (10x dx Novo - xp]ox S[e*...
(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use logarithmic differentiation to find dar dy dx b) Find the slope of the tangent line at x = = 1. Slope = C) Find the equation of the tangent line at x = 1. Tangent line: y